Home
Class 12
MATHS
The normal at the point (1,1) on the cur...

The normal at the point (1,1) on the curve `2y+x^2=3`is(A) `x + y = 0` (B) `x - y = 0` (C) `x + y +1 = 0`(D) `x - y = 0`

Text Solution

Verified by Experts

Correct option is `B`
`f(x)=x(x-4)^2, x in 1`
The equation of the given curve is `2y+x^2=3`
Differentiating w.r.t `x` we have
...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT|Exercise EXERCISE 6.4|9 Videos

  • APPLICATION OF DERIVATIVES

    NCERT|Exercise EXERCISE 6.5|29 Videos

  • APPLICATION OF DERIVATIVES

    NCERT|Exercise EXERCISE 6.3|27 Videos

  • APPLICATION OF INTEGRALS

    NCERT|Exercise EXERCISE 8.2|7 Videos

Similar Questions

Explore conceptually related problems

If (2, -2),(-1,2), (3,5) are the vertices of a triangle then the equation of the side not passing through (2,-2) is (A) x + 2y +1 = 0 (B) 2x - y- 4= 0 (C) X-3y -3= 0 (D) 3x – 4y + 11 = 0

The following line(s) is (are) tangent to the curve y=x^2 - x (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

The normal to the curve x^(2)=4y passing (1,2) is (A) x+y=3 (B) x-y=3 (D) x-y=1

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

for every point (x,y,z) on the y-axis: (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=0 (D) y!=0,x=0,z=0

The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b) y=0 (c) x+y=0 (d) x-y=0

The distance between the point (1 1) and the normal to the curve y=e^(2x)+x^(3) at x=0 is

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

The equation of the tangent to the curve y=sec x at the point (0,1) is (a) y=0 (b) x=0 (c) y=1 (d) x=1

. If 2x^(2)-5xy+2y^(2)=0 represents two sides of triangle whose centroid is (1,1) then the equation of the third side is (A)x+y-3=0 (B) x-y-3=0 (C) x+y+3=0 (D) x-y+3=0

NCERT-APPLICATION OF DERIVATIVES-MISCELLANEOUS EXERCISE
  1. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  2. A window is in the form of a rectangle surmounted by a semicircular o...

    Text Solution

    |

  3. The sum of the perimeter of a circle and square is k, where k is some...

    Text Solution

    |

  4. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3ha...

    Text Solution

    |

  5. A point on the hypotenuse of a triangle is at distance a and b from t...

    Text Solution

    |

  6. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

  7. Show that height of the cylinder of greatest volume which can be insc...

    Text Solution

    |

  8. Find the intervals in which the function f given byf(x)=(4sinx-2x-x co...

    Text Solution

    |

  9. Find the intervals in which the function f given by f(x)=x^3+1/(x^3), ...

    Text Solution

    |

  10. Find the equation of the normal to curve x^2=4ywhich passes through t...

    Text Solution

    |

  11. Show that the normal at any point thetato the curvex=acostheta+athetas...

    Text Solution

    |

  12. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

    Text Solution

    |

  13. The two equal sides of an isosceles triangle with fixed base b are de...

    Text Solution

    |

  14. Find the maximum area of an isosceles triangle inscribed in the ellip...

    Text Solution

    |

  15. A tank with rectangular base and rectangular sides, open at the top ...

    Text Solution

    |

  16. The slope of the tangent to the curve x=t^2+3t-8,y=2t^2-2t-5at the po...

    Text Solution

    |

  17. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

    Text Solution

    |

  18. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

    Text Solution

    |

  19. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x - y...

    Text Solution

    |

  20. The points on the curve 9y^2=x^3, where the normal to the curve makes ...

    Text Solution

    |